Question

multiply. write your answer in simplest form.\\(\sqrt{7} \cdot \sqrt{3}\\)

Explanation:

Step1: Recall the property of square roots

The property of square roots states that for non - negative real numbers \(a\) and \(b\), \(\sqrt{a}\cdot\sqrt{b}=\sqrt{a\times b}\). Here, \(a = 7\) and \(b=3\).

Step2: Apply the property

Substitute \(a = 7\) and \(b = 3\) into the formula \(\sqrt{a}\cdot\sqrt{b}=\sqrt{a\times b}\). So we have \(\sqrt{7}\cdot\sqrt{3}=\sqrt{7\times3}\).

Step3: Calculate the product inside the square root

Calculate \(7\times3 = 21\). So \(\sqrt{7\times3}=\sqrt{21}\).

Answer:

\(\sqrt{21}\)